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Finding the Fourth Proportional to 16,385.62, 22,614.78 and 9,314.32

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Solution

The fourth proportional to 16,385.62, 22,614.78 and 9,314.32 is: 12,855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.62 : 22,614.78 = 9,314.32 : x
  2. Step 2: Convert to fraction form
    16,385.62/22,614.78 = 9,314.32/x
  3. Step 3: Cross multiply
    16,385.62x = 22,614.78 × 9,314.32
  4. Step 4: Simplify right side
    16,385.62x = 210,641,297.65
  5. Step 5: Solve for x
    x = 210,641,297.65/16,385.62
  6. Step 6: Final answer
    x = 12,855.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.